Scheme of Studies - Mathematics Grade-8
2) Recognize Polynomial in one, two and more variables
3) Recognize Polynomials of various degrees (e.g. linear, quadratic, cubic and bi quadratic
Polynomials).
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The teacher will make connection with previous period, apply the proper procedure and solve the 2 to 3 Problems from Exercise 9.1, Q# 1 & 2 given on the Page# 82 for understanding of students.
The teacher will provide opportunity to students for practicing the problems from Exercise 9.1, Q# 1 & 2 on Page# 82 and by solving the worksheets# 01.
Finally, teacher will check the work of every student, give feedback and conclude the topic.
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Worksheets
16th Week
Period 2 & 3 4) Define
• Polynomial,
• Degree of a Polynomial,
• Coefficients of a Polynomial.
5) Recognize Polynomial in one, two and more variables.
6) Recognize Polynomials of various degrees (e.g. linear, quadratic, cubic and biquadratic
Polynomials).
L.L.R
The teacher will provide opportunity to students for practicing the problems from Exercise 9.1, Q# 1 & 2 on Page# 82 and by solving the worksheets # 02, 03, 04 &05 of Unit# 9.
Finally, teacher will check the work of every student, give feedback and conclude the topic.
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Period 4 & 1 Operation on polynomials The teacher will introduce the new topic
“Addition and Subtraction of Polynomials”
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Add, subtract and multiply Polynomials.
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and share the two methods (Vertical and Horizontal Methods) for solving the Problems of Addition and Subtraction by solving some examples related to the topic through demonstration and discussion on Page# 82.
The teacher will apply the Proper procedure and solve the 2 to 3 Problems from Exercise 9.2, Q#1(d), Q#2(c) & Q#3 given on the Page#
83 for understanding of students.
The teacher will provide opportunity to students for practicing the problems from Exercise 9.2, Q# 1 to 5, and Page # 83 and by solving the worksheets# 06, 07, 08 & 09 of Unit# 9.
Finally, teacher will check the work of every student and give feedback according to it.
Remaining parts of the exercise students will solve as reinforcement activity.
grade-8 text book
Worksheets
February 17th Week
Unit X:
Factorization Period 2
Algebra
Algebraic Expressions.
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The teacher will use prior knowledge of the students; define the Algebraic Expression according to terms and basic signs as well as brackets given on the Page # 85.
The teacher will demonstrate the Algebraic Expressions through examples.
The teacher will give instructions to students for practicing the problems from Exercise 10.1, Q# 1 to 7, on page #86.
Finally, teacher will check the work of every student and give feedback on it.
Students will solve the worksheets# 01, 02 &
03 of Unit# 10
Remaining parts of the exercise students will solve as reinforcement activity.
Worksheets
Period 3 & 4 The teacher will introduce the new topic. Worksheets
(a + b)2= a2 + 2ab + b2, L.L.R & A
The teacher will prove the formula through demonstration and discussion.
After teacher will instruct the students to prove the same formula in pairs.
The teacher will apply the proper procedure and solve the 2 to 3 problems from Exercise 10.2, Q# 1(d & h), Q#4(d & f) according to the topics given on the Page# 89 for
understanding of students.
The teacher will give chance to students for practice of the problem solving from the same Exercise 10.2, Q# 1 & 4 and by solving worksheets# 04 of Unit# 10.
18th Week
Period 1 & 2 (a – b)2= a2− 2ab + b2, L.L.R & A
The teacher will introduce the new topic.
The teacher will prove the formula through demonstration and discussion.
After teacher will instruct the students to prove the same formula in pairs.
The teacher will apply the proper procedure and solve the 2 to 3 problems from Exercise 10.2, Q# 2(d), Q# 5(f) according to the topic given on the Page # 89 for understanding of students.
The teacher will give chance to students for practice of the problem from same Exercise 10.2, Q# 2, 3 & 5 and by solving worksheets#
05, 06, 07 & 08 of Unit# 10.
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Period 3 & 4 a2– b2= (a − b) (a + b),
and apply them to solve problems like:
Evaluate (102)2, (1.02)2, (98)2 and (0.98)2.
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The teacher will introduce the new topic.
The teacher will prove the formula through demonstration and discussion with
applications of formula.
After teacher will instruct the students to prove the same formula in pairs.
The teacher will apply the proper procedure
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and solve the 2 to 3 problems from Exercise 10.5, Q# 1(j & n), Q# 2(c) and Exercise 10.6, Q#1(d) & Q#3(b) according to the topics given on the Page # 93 for understanding of students.
The teacher will give chance to students for practice the problem of same Exercise 10.5, Q# 1 to 2 and by solving worksheets# 13, 14
& 15 of Unit# 10.
19th Week
Period 1 Find
When the value of L.L.U
The teacher will solve examples of related application with the help of square formula by discussion using board.
Then teacher will give instructions to students for practice of the problems given in Exercise 10.6, Q# 1 to 6 on Page # 96.
Remaining parts of the exercise students will solve as reinforcement activity.
Period 2 Factorize expressions of the following
types:
ka + kb + kc ac + ad + bc + bd L.L.R & U
The teacher will introduce the new topic and prove the formula through demonstration and discussion given from the Page # 96.
After the teacher will instruct the students to prove the same formula in pairs.
Then teacher will provide an opportunity to students for practicing the problems given in Exercise 10.7, Q# 1 to 18 on Page # 97 and by solving worksheets# 16 of Unit# 10.
Remaining parts of the exercise students will solve as reinforcement activity.
Worksheets
Period 3 & 4 a2± 2ab + b2 a2– b2
a2± 2ab + b2– c2 L.L.R &U
The teacher will introduce the new topic and prove the both conditions of given formulas through demonstration and discussion.
After teacher will instruct the students to prove the same formula in pairs.
The teacher will provide an opportunity to
Worksheets
students for practice individually on the problem-solving given in Exercise 10.8, Q# 1 to 20 & Exercise 10.9, Q# 1 to 20 on Page # 98
& 99 and by solving worksheets# 17, 18 of Unit# 10.
Remaining parts of the both exercises students will solve as reinforcement activity.
20th Week
Period 1 a2± 2ab + b2
a2– b2
a2± 2ab + b2– c2 L.L.R & U
The teacher will prove the both conditions of given formulas through demonstration and discussion.
After teacher will instruct the students to prove the same formula in pairs.
Then teacher will provide an opportunity to students for practice individually on the problems solving given in Exercise 10.8, Q# 1 to 20 & Exercise 10.9, Q# 1 to 20, Page # 98 &
99 and by solving worksheets# 8 of Unit# 10.
Remaining parts of the both exercise students will solve as reinforcement activity.
Worksheets
Unit XI:
Simultaneous Linear
Equations Period 2
Algebra
Simultaneous Linear Equations i) Recognize simultaneous linear equations in one and two variables.
L.L.R
The teacher will briefly clear the concept about word “Simultaneous” and its meaning, then teacher will discuss on the
“Simultaneous Equation in one and two variables with the help of board and chalk on the (Page # 111)
Then teacher will assess the students by asking the questions about the related topic.
After taking responses from the students, teacher will conclude the same topic with desired outcome.
Period 3 ii) Give the concept of formation of
linear equation in two variables.
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The teacher will briefly introduce about
“Linear Equations in Two Variables” then teacher discussed on the “Linear Equation in one and two variables with the help of board
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and chalk. (P# 111)
The teacher will share the difference between
“Linear equation in two variables and Simultaneous equations”
Then teacher will assess the students by asking the questions related to the topic.
After taking responses from the students’
teacher will conclude the topic with desired outcome.
Period 4 iii) Know that:
• a single linear equation in two unknowns is satisfied by as many pair of values as required.
• Two linear equations in two
unknowns have only one solution (i.e., one pair of values).
L.L.U & R
In this period teacher will describe the both statements according to formation of equation briefly.
Then teacher will give some examples of both statements.
In the last teacher will make the groups and give instructions to students that they write 8 to 10 examples of both statements in groups.
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March 21st Week
Period 1 Solve simultaneous linear equations
using equations
• Method of equal coefficient, L.L.U & R
The teacher will introduce the method no: 2 of solving equations only given on the Page#
112.
Now teacher will briefly describe the Method# 2 given on the Page # 112 with reasonable examples by board and chalk method through demonstration.
Then teacher will give instructions to students for practicing the problems related to the method no: 2 given in Exercise 11.1, Q# 1 to 20, Page # 116 & 117 and by solving
worksheets# 02 of Unit# 11.
Remaining parts of the Q#1 students will solve as reinforcement activity.
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Worksheets
Period 2 Solution of simultaneous linear
equations using equations
The teacher will introduce the four methods for solving equations given on the Page# 112
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• Method of substitution, L.L.U & R
– 115.
Now teacher will briefly describe the Method# 1 given on the Page # 112 with reasonable examples by board and chalk method.
Then teacher will give instructions to students for practice the problems solving related to the method no: 1 given in Exercise 11.1, Q# 1 to 20, and Page # 116 and by solving
worksheets# 01 of Unit# 11.
Remaining parts of the Q#1 students will solve as reinforcement activity.
grade-8 text book
Worksheets
Period 3 Solve simultaneous linear equations
using equations
• Method of cross multiplication.
L.L.U & R
The teacher will introduce the method no: 4 of solving equations only given on the Page # 115.
Now teacher will briefly describe the Method# 4 given on the Page # 115 with reasonable examples by board and chalk method through demonstration.
The teacher will apply proper procedure to solve 2 to 3 equations from Exercise 11.1, Q#
2(21 & 25)
Then teacher will give instructions to students for practicing the problems solving related to the method no: 4 given in Exercise 11.1, Q#2 (21 to 25) on Page #117 and by solving worksheets# 04 of Unit# 11.
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Period 4 Elimination
i) Eliminate a variable from two equations by:
Substitution
Application of formulae.
ii) Absolute value of a number Equations involving absolute value.
In the start teacher will use think, pair and share strategy to define the Absolute of a number.
The teacher will share the definition and importance of “Absolute value of a number”
given on the Page # 121 to 122 with examples.
Worksheets
L.L.U & R
Then teacher will solve two or three
problems from Exercise 11.3, Q# 1(1, 7 & 10) through demonstration.
The teacher will make the pairs of students and assign the problems to each pair for solving problems from the Exercise 11.3, Q#
1(1 to 12) and by solving worksheets# 07 &
08 of Unit# 11.
Finally, teacher will check the work of every student and give feedback on it.
Remaining parts of the Q#1 students will solve as reinforcement activity.
22nd Week
Unit XII:
Fundamentals of Geometry Period 1
Measurements and Geometry
Parallel Lines
i) Define parallel lines.
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The teacher will define the word “Parallel”
and its meaning.
And teacher will share the importance and use of “Parallel lines” in daily life with
demonstration and discussion given on Page
# 135. Also, teacher will give real life examples.
After the demonstration teacher will assign the task to students to draw and write the 2 to 3 examples of parallel line from daily life in your note book.
Students will solve the worksheets# 01 of Unit# 13.
Finally, teacher allows learners to ask questions with respect to the topic and respond them accurately.
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Period 2 Demonstrate through figures the
following
properties of parallel lines.
• Two lines which are parallel to the same given
line are parallel to each other.
The teacher will prove the first property given on the Page# 138 through figure with the help of geometry instruments applying step by step procedure.
The teacher will give the chance to students for practice on the first property through
Worksheets Board, Marker and grade-8 text book
Charts
L.L.A & U
figure in groups and they will present their work in front of the whole class.
After that teacher will check the work of every student and give constructive feedback.
Students will solve worksheets# 02 of Unit#
13.
Finally, teacher will instruct the students to make a chart in groups and display in the class.
Period 3 iii) Draw a transversal to intersect two parallel lines and demonstrate
corresponding angles, alternate interior angles, vertically opposite angles and interior angles on the same side of transversal.
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The teacher will define the word
“Transversal” in the class.
Then teacher will demonstrate the corresponding angles, alternate angles, vertically opposite angles and interior angles on the same side of transversal linked with previous topic and use of geometry box instruments where needed on Page # 135- 137.
The teacher will allow students to ask questions about the related topic and respond them accurately.
Finally, teacher will conclude the topic with desired outcome.
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Geometry box
Period 4 iv) Describe the following relations
between the pairs of angles when a transversal intersects two parallel lines.
• Pairs of corresponding angles are equal.
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The teacher will prove this condition through Figure# 3 and their application given on the Page# 136 by applying the proper procedure or steps.
The teacher uses simple way to prove this.
The teacher will allow students to ask questions about the topic and teacher will conclude the topic with desired outcome.
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And chart
23rd Week
Period 1 • Pairs of alternate interior angles are equal.
• Pair of interior angles on the same
Same as the above teacher will prove the both conditions through Figure# 4 & 5 and their applications given on the Page # 136 –
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side of transversal is supplementary, and demonstrates them through figures.
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137 by applying the proper procedure.
The teacher uses simple way to prove this.
The teacher will allow students to ask
questions about the topic and give chance to prove the same in groups.
Finally, teacher will conclude the desired outcomes with constructive feedback.
book
Period 2 & 3 Polygons
i) Define polygons.
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The teacher uses proper questioning techniques to define the Polygons and its types through figures and angles given on the Page # 140.
And teacher allows learners to ask questions with respect to the topic and respond them accurately.
After that teacher will conduct a simple activity. The teacher will assign the any name from kinds of the polygons in pairs and give the instruction to the students to draw the figure on white paper according to assigned names.
Students will solve worksheets# 05 & 06 of Unit# 13.
After that teacher will check the work of every student and give constructive feedback.
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Unit XIII:
Practical Geometry Period 2
Measurements and Geometry
Construction of Quadrilaterals i) Define and depict two converging (non-parallel) lines and find the angle between them without producing the lines.
ii) Bisect the angle between the two converging lines without producing them.
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The teacher will construct and prove (two converging (non-parallel) lines and find the angle between them without producing the lines) given on Page # 157 with discussion and board practice through the figure.
The teacher will allow students to ask questions related to the topic and respond them accurately.
After teacher will instruct the students to prove the same statement in pairs.
Worksheets and
Geometry box
The teacher will give instructions to students for practice individually and will solve
worksheets# 01 of Unit# 14.
Finally, teacher will check the work of every student, give feedback and sum up the topic.
24th Week
Period 1 iv) Construct a Square
When its diagonal is given.
When the difference between its diagonal and side is given.
When the sum of its diagonal and side is given.
L.L.U & A
The teacher will explain and construct the square according to both Case 1 and 2 given on the Page # 158 with discussion and board practice through figures applying the proper steps.
The teacher allows students to ask questions related to the topic and respond them accurately.
After teacher will instruct the students to construct the squares according to the both cases in pairs and will solve worksheets# 02 of Unit# 14.
The teacher will give instructions to students for practice individually on it.
Finally, teacher will check the work of every student, give feedback and sum up the topic.
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Period 2 iv) Construct a Square
When its diagonal is given.
When the difference between its diagonal and Side is given.
When the sum of its diagonal and side is given.
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The teacher will explain and construct square according to both Case 3 and 4 given on Page
# 158 - 159 with discussion and board practice through figures applying the proper steps.
The teacher allows students to ask questions related to the topic and respond them accurately.
After teacher will instruct the students to construct squares according to case 3 & 4 in pairs.
Then teacher will give instructions to students for practice individually on it.
1. Finally, teacher will check the work of every student, give feedback and sum up the topic.
Period 3 v) Construct a rhombus
• when one side and the base angle are given.
• when one side and a diagonal are given.
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The teacher will explain and construct the rhombus according to both Case 1 (when one side and the base angle are given), given on Page # 159 with discussion and board practice through construction.
The teacher allows students to ask questions related to the topic and respond them accurately.
After teacher will instruct the students to construct the rhombus according to case 1 in pairs.
Then teacher will give instructions to students for practice individually on it.
Finally, teacher will check the work of every student to give feedback and sum up the topic.
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Period 4 vi) Construct a parallelogram
• When two diagonals and the angle between them is given.
• When two adjacent sides and the angle included between them is given.
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The teacher will explain and construct the parallelogram according to property 1(When two diagonals and the angle between them is given) given on the Page # 160 with
discussion and board practice through construction.
The teacher allows students to ask questions related to the topic and respond them accurately.
After teacher will instruct the students to construct parallelogram according to property 1 in pairs.
The teacher will give instructions to students for practice individually on it and will solve worksheets# 03 of Unit# 14.
2. Finally, teacher will check the work of every
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student, give feedback and sum up the topic.
April 25th Week
Period 1 vii) Construct a kite
• When two unequal sides and a diagonal are given.
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The teacher will explain and construct the Kite according to given statement given on the Page# 160 through discussion and board practice with figures applying the proper steps.
The teacher allow students to ask questions related to the topic and respond them accurately.
Then teacher will give instructions to students for practice individually on it.
Finally, teacher will check the work of every student, give feedback and sum up the topic.
Geometry box
Period 2 & 3 Construct a right-angled triangle • When hypotenuse and one side are given.
• When hypotenuse and the vertical height from its vertex to the
• When hypotenuse and the vertical height from its vertex to the